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valeraitrva
@valeraitrva
July 2022
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Помогите с неравенствами
Номер 280
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sedinalana
1
3:(-2x)<3^0,5
-2x<0,5
x>-0,25
2
5^(2x/3)>5²
2x/3>2
2x>6
x>3
3
3^(6x-2)>3^0,5
6x-2>0,5
6x>2,5
x>4 1/6
4
2^(3x/2+3)<2^4
3x/2 +3<4
3x/2<1
3x<2
x<2/3
5
5^(+1)/3≥5^(-1/3)
(x+1)/3≥-1/3
x+1≥-1
x≥-2
6
(2/3)^(4/x - 3)>(2/3)^-2
4/x-3<-2 основание меньше 1,знак меняется
4/x-1<0
(4-x)/x<0
x=4 x=0
_ + _
-------(0)--------------(4)---------
x<0 U x>4
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Answers & Comments
3:(-2x)<3^0,5
-2x<0,5
x>-0,25
2
5^(2x/3)>5²
2x/3>2
2x>6
x>3
3
3^(6x-2)>3^0,5
6x-2>0,5
6x>2,5
x>4 1/6
4
2^(3x/2+3)<2^4
3x/2 +3<4
3x/2<1
3x<2
x<2/3
5
5^(+1)/3≥5^(-1/3)
(x+1)/3≥-1/3
x+1≥-1
x≥-2
6
(2/3)^(4/x - 3)>(2/3)^-2
4/x-3<-2 основание меньше 1,знак меняется
4/x-1<0
(4-x)/x<0
x=4 x=0
_ + _
-------(0)--------------(4)---------
x<0 U x>4